The area of a square is 100 cm^2 Work out the area of the circle.Give your answer in terms of pi?

To do this I will assume that the circle is inside the square, touching the sides.
area of square = length * width
100 = length * width
and since it is a square, the length and width are the same ( call them both y )
100=y * y
so y is 10
so the width and length are 10, this also means the diameter of the circle is 10 (if it is touching the side of the square)
diameter = 10
area of a circle is pi * radius ^2
radius is half diameter
radius = 5
area = pi* 5^2
area =25 pi
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